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Math Help - [SOLVED] How many turning points does the function f(x)= -4x^3 +15x^2 -8x - 3 have?

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    Angry [SOLVED] How many turning points does the function f(x)= -4x^3 +15x^2 -8x - 3 have?

    How many turning points does the function f(x)= -4x^3 +15x^2 -8x - 3 have

    help me not fail math
    Last edited by mr fantastic; June 30th 2009 at 03:32 PM. Reason: Added post title to main body of post
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    Quote Originally Posted by MR FRESH View Post
    help me not fail math
    A polynomial of degree n, has at most n-1 turning points. Maybe that bit of info will help you.
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    Quote Originally Posted by MR FRESH View Post
    How many turning points does the function f(x)= -4x^3 +15x^2 -8x - 3 have

    help me not fail math
    It has one turning point between each pair or roots of odd multiplicity and a turning point at each root of even multiplicity.

    This is a cubic so it has either 1 or 3 real roots (counting multiplicities) find them and the answer will be obvious.

    CB
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